块θ-方法的PL_m-稳定性(英文)  

The PL_m-stability of the Block θ-method

作　　者：谭秀丽[1] 李顺道[1] 项家祥[1] 丛玉豪[1] 

机构地区：[1]上海师范大学数理信息学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2007年第3期6-11,共6页Journal of Shanghai Normal University(Natural Sciences)

基　　金：Shanghai Municipal Education Commission(04DB07,07ZZ64);Shanghai Science and Technology Com-mittee(03QA14036);NSFC(1067130);The Special Funds for Major Specialties of Shanghai Education Committee.

摘　　要：讨论了带有多个滞时量的延时微分方程的数值稳定性,分析了块θ-方法求解多延迟微分方程的Pm-稳定性和PLm-稳定性的条件,证明了块θ-方法Pm-稳定的充要条件是1/2≤θ≤1,块θ-方法PLm-稳定的充要条件是θ=1.The stability behavior of the numerical solution of delay differential equations with many delays is studied. The conditions of the Pm -stability and the PLm -stability of the block θ- method for delay differential equations 1 with many delays are discussed. It is shown that the block θ- method is Pm -stable if and only if 1/2≤θ≤ 1, the block θ- method is PLm- stable if and only if θ = 1.

关 键 词：延迟微分方程 块θ-方法 数值稳定性 

分 类 号：D241.8[政治法律—政治学]